r -systems of unary algebras. I: On maximal and greatest J -classes of the direct product of unary algebras

Imrich Abrhan; Ladislav Satko

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 1, page 55-68
  • ISSN: 0232-0525

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Abrhan, Imrich, and Satko, Ladislav. "$r$-systems of unary algebras. I: On maximal and greatest $J$-classes of the direct product of unary algebras." Mathematica Slovaca 44.1 (1994): 55-68. <http://eudml.org/doc/32398>.

@article{Abrhan1994,
author = {Abrhan, Imrich, Satko, Ladislav},
journal = {Mathematica Slovaca},
keywords = {equivalence classes; direct product; unary algebras},
language = {eng},
number = {1},
pages = {55-68},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {$r$-systems of unary algebras. I: On maximal and greatest $J$-classes of the direct product of unary algebras},
url = {http://eudml.org/doc/32398},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Abrhan, Imrich
AU - Satko, Ladislav
TI - $r$-systems of unary algebras. I: On maximal and greatest $J$-classes of the direct product of unary algebras
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 1
SP - 55
EP - 68
LA - eng
KW - equivalence classes; direct product; unary algebras
UR - http://eudml.org/doc/32398
ER -

References

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  1. ABRHAN I., Sets of nilpotent elements and radicals of the direct product of semigroups, (Russian), Mat. Cas. 18 (1968), 25-33. (1968) MR0240225
  2. ABRHAN I., On (H, T) -ideals of the direct product of semigroups, (Slovak), Mat. Gas. 21 (1971), 199-213. (1971) MR0302793
  3. ABRHAN I., On maximal subalgebras of unary algebras, (Russian), Mat. Čas. 24 (1974), 113-128. (1974) MR0387156
  4. ABRHAN I., On J-subalgebras of unary algebras and J-ideals of groupoids, (Slovak). In: Theses for habilitation, SjF STU, Bratislava, 1976. (1976) 
  5. ABRHAN I., On J-subalgebras of unary algebras, on prime ideals and J-ideals of groupoids and semigroups, (Russian), Math. Slovaca 28 (1978), 61-80. (1978) MR0527775
  6. ABRHAN I., On prime ideals of groupoids and multiplicative semigroups of equivalence classes (mod m), (Russian), Math. Slovaca 34 (1984), 121-133. (1984) MR0744946
  7. GRÄTZER G., Universal Algebra, , Van Nostrand, Princeton, N.J., 1968. (1968) MR0248066
  8. FABRICI I., On complete ideals in semigroups, , Mat. Čas. 18 (1968), 34-39. (1968) Zbl0169.02902MR0238978
  9. HRMOVÁ R., Generalized ideals in semigroups, (Russian), Mat.-fyz. Čas. 13 (1963), 11-51. (1963) MR0152599
  10. IVAN J., On the direct product of semigroups, (Slovak), Mat.-fyz. Čas. 3 (1953), 57-66. (1953) MR0062733
  11. IVAN J., Simplicity and minimal ideals of the direct product of semigroups, (Russian). Mat.-fyz. Čas. 13 (1963), 114-124. (1963) MR0159894
  12. PETRICH M., Prime ideals of the Cartesian product of two semigroups, Czechoslovak Math. J. 12 (1962), 150-152. (1962) Zbl0124.25702MR0140597
  13. PETRICH M., Idéaux demi-premiers du produit Cartésien d'un nombre fini de demigroupes, C.R. Acad. Sci. Paris 256 (1963), 3950-3953. (1963) MR0148774
  14. PLEMONS R., Maximal ideals in the direct product of two semigroups, Czechoslovak Math. J. 17 (1967), 357-360. (1967) MR0214681
  15. PONDĚLÍČEK B., Right prime ideals and maximal right ideals in semigroups, Mat. Čas. 21 (1971), 87-90. (1971) Zbl0219.20043MR0302801
  16. SCHWARZ Š., Prime ideals and maximal ideals in semigroups, Czechoslovak Math. J. 12 (1969), 72-79. (1969) Zbl0176.29503MR0237680

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